Answer:
1) D and R are NOT independent events
2) The probability of electing a Republican president and an economic decline in 2020 is 0.224
3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739
4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646
Step-by-step explanation:
Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president
Given that;
P(D) = 0.23
P(R) = 0.64
Conditional P(D | R) = 0.35
1) Are R and D independent events?
we know that two events A & B are independent events if; P(B | A) = P(B)
here, P(D | R) = 0.35 and P(D) = 0.23
so; P(D | R) ≠ P(D)
Therefore D and R are NOT independent events
2) The probability of electing a Republican president and an economic decline in 2020;
we know that;
P(D | R) = P(D ∩ R) / P(R)
we substitute
0.35 = P(D ∩ R) / 0.64
P(D ∩ R) = 0.35 × 0.64
P(D ∩ R) = 0.224
Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224
3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?
P(R | D) = P(D ∩ R) / P(D)
we substitute
P(R | D) = 0.224 / 0.23
P(R | D) = 0.9739
Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739
4) the probability of economic decline or a Republican president elected in 2020 or both
P(D ∪ R) = P(D) + P(R) - P(D ∩ R)
we subtitute
P(D ∪ R) = 0.23 + 0.64 - 0.224
P(D ∪ R) = 0.646
Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646
One winter day, the temperature in Houston is 8 Celsius. Find the temperatures in these other cities. Explain or show your reasoning.
In Orlando, it is 17 warmer than it is in Houston
In Salt Lake City, it is 18 colder than it is in Houston
In Minneapolis, it is 25 colder than it is in Houston
In Fairbanks, it is 12 colder than it is in Minneapolis
Write an addition equation that represents the relationship between the temperature in Houston and the temperature in Fairbanks.
Hence, the temperatures in these other cities are
Orlando is [tex]25[/tex] degree
Salt Lake is [tex]-10[/tex] degree
Minneapolis is [tex]-17[/tex] degree
Fairbanks is [tex]-29[/tex] degree
What is the degree?
A degree, usually denoted by °, is a measurement of a plane angle in which one full rotation is [tex]360[/tex] degrees.
Here given that,
One winter day, the temperature in Houston is [tex]8[/tex] Celsius.
In Orlando, it is [tex]17[/tex] warmer than it is in Houston.
In Salt Lake City, it is [tex]18[/tex] colder than it is in Houston.
In Minneapolis, it is [tex]25[/tex] colder than it is in Houston.
In Fairbanks, it is [tex]12[/tex] colder than it is in Minneapolis.
So, it would be
Orlando = [tex]25[/tex] degree
because [tex]17+8=25[/tex] degree
Salt Lake city [tex]= -10[/tex] degree
because [tex]8-18=-10[/tex] degree
Minneapolis [tex]= -17[/tex] degree
because [tex]8-25=-17[/tex] degree
Fairbanks [tex]= -29[/tex] degree
because [tex]-17-12=-29[/tex] degree
Hence, the temperatures in these other cities are
Orlando is [tex]25[/tex] degree
Salt Lake is [tex]-10[/tex] degree
Minneapolis is [tex]-17[/tex] degree
Fairbanks is [tex]-29[/tex] degree
To know more about the degree
https://brainly.com/question/15652682
#SPJ2
How many fourths are in 3 fourths?
Answer:
12 one fourths
Step-by-step explanation:
Answer:
12 one fourths
Step-by-step explanation:
There 3 × 1 1/4 = 3 × 4 = 12 one fourths in 3
Simplify completely*****
Answer:
[tex]\displaystyle \frac{2(x + 4)}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4x + 16}{6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{4(x + 4)}{6}[/tex][Fraction] Reduce: [tex]\displaystyle \frac{2(x + 4)}{3}[/tex]Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 210°. Find m∠Y.
Answer:
angle Y= 60 degrees
Step-by-step explanation:
angle S + angle Y = 90 degrees because they are complementary
Y = 90 - S
angle S = 4(Y)-210
substitute for Y
S = 4(90 - S) - 210
S = 360 - 4S - 210
reduce
5S = 150
S = 30
Y = 90 - 30 = 60
plz help with 24-28!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
a) Simplify
X - 2 / 7(x - 2)2
Answer:
3x/7 + 8/7
Step-by-step explanation:
a department store sells a pair of shoes with an 87% markup, if the store bought the pair of shoes for 55.25, what is the selling price to the nearest dollar?
Answer:
$103
so 87% of $55.25 is 48.0675
48.0675+55.25 is 103.3175
103.3175 rounded to the nearest dollar is 103.
Find The values of ( d ,f ,e ) angles
Answer:
angle d =35, e=55, f=55.............
whats 8 x 2 40 points
Answer:
Error hehehheheheh
Step-by-step explanation:
crown me please hehehhhe hahahahahh hohohoohoho points more more more more points
A circles radius is 13 meters what is the circles area using 3.14 rounded to the nearest tenth
Answer:
530.7
Step-by-step explanation:
A circle's area is defined as πr²
You would substitute 13 in for r (the radius) and use 3.14 as your given value for pi, leaving you with this:
3.14×13²
When you calculate this, it should return a value of 530.66, which rounded to the nearest tenth is 530.7
Hope this helps!
If an interest rate of 5% results in interest of $50,
what is the principal amount of the loan?
Answer:
Ñpswplmlpspapppapapa
piete)
Decide whether the following statement makes sense or does not make sense. Explain your reasoning.
I drove at a speed of 35 miles for the entire trip.
Answer:
It doesn't make sense
Step-by-step explanation:
Given
Statement: .... at a speed of 35 miles .....
Required
Does it make sense?
In motion, speed is measured in km/h, m/s, miles per hour (depending on context) while distance is measured in km, m or miles.
However, the given statement mention the unit of speed to be miles which is incorrect.
Hence, we can conclude that the statement does not make sense.
A correct statement would be: I drove at a speed of 35 miles per hour .......
Please help ASAP!
Thank you
Help me please!!
15 points!
Answer:
Hi Hi really sorry may i get some points i need them to give it to other people cuz some people want points, ik its not the answer u wanted sorry but hope u get the answer soon!
Step-by-step explanation:
how many inches is 2 1/6 ft
Answer:
26 inches
Step-by-step explanation:
Translate the expression: Four-fifths of the sum of 4 and y (pls hurry it's timed)
[tex]\frac{4}{5}(4+y)[/tex]
Pleeeeeeease help me! However helps me first gets brainliest points!
Simplify the following algebraic expressions:
a. - 6x + 5 + 12x -6
b. 2(x - 9) + 6(-x + 2) + 4x
c. 3x2 + 12 + 9x - 20 + 6x2 - x
d. (x + 2)(x + 4) + (x + 5)(-x - 1)
e. (x+8)(x+9)+(x+1)(-x-6)
Answer:
A) 6x-1
B) -6
C) 9x2+8x-8
D) 3
E) 10x+66
Step-by-step explanation:
What is the volume of a cube with edge lengths of 2/3 units
Answer:
Step-by-step explanation:
8/27 because if you think about it 2/3 x 2/3 x 2/3 x 2/3 = 8/27
Jeff had 20 $ he spent 1/8 on his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left
Answer:
9.50$
Step-by-step explanation:
First, multiply 20 by the given fractions
20*1/8=2.5
20*2/5=8
Add the two together to get the total amount of money Jeff spent, 10.5, then subtract 10.5 from 20 to get the total amount he has left, 9.5
Answer:
$9.50
I did a test with this question and the correct answer was 9.50
Write a rule for a function with a parabolic graph that contains the x-intercepts (-20,0) and (40,0) and a maximum point whose y-coordinate is 30.
Step-by-step explanation:
Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.
Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.
=> (0) = a[(40) - 10]² + 30
=> 900a + 30 = 0, a = -1/30.
Hence the rule is y = -(x - 10)²/30 + 30.
f(x)=-12x^3-14x^2+6x
(9, 19) (2, 16)
Write the coordinates as decimals or integers.
Answer:
In decimal 0.428571428
Step-by-step explanation:
The slope = (y2 - y1)/(x2 - x1) y2 = 16, y1 = 19x2=2 and x1=9
The slope = (16 - 19)/(2 -9)
The slope = (-3)/(-7)
The slope = 0.428571428
So in decimal form the coordinates are going to be written as 0.428571428
Slope is the steepness of a line, it is the difference between the y coordinates divided by the difference in x coordinates.
There are 30 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
ou intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis test. A description of each of the steps of a hypothesis test follows, but they may be specified in the incorrect order. Specify the correct order of the steps. Determine the null and alternative hypotheses. Draw a conclusion about the unknown population using what is known about the sample. Determine the probability at which you will conclude that the sample outcome is very unlikely. Draw a random sample, and calculate the sample statistic.
Answer:
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
Step-by-step explanation:
The correct order of the steps are :
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
Help it’s due today plz
Pleas e help me 100 points and brainliest
Answer:
this is your answer. I think it is right.
Answer:
see the answersStep-by-step explanation:
to understand thisyou need to know about:factoringlCDPEMDAStips and formulas:L.C.D=lowest common denominatorlet's solve:[tex]1) \sf\frac{7}{m - 6} \: , \frac{1}{m} \\ [/tex]
denominators are m-6,m
therefore
the lowest common denominator is
(m-6)(m)[tex] \sf\frac{1}{n - 1} \: , \frac{1}{ {n}^{2} - 2n + 1 } [/tex]
denominators n-1,n²-2n+1
step-1
factor n²-2n+1 to find the lowest common denominator
use (a-b)²=a²-2ab+b to factor n²-2n+1therefore
(n)²-2.n.1+(1)²(n-1)²therefore
the L.C.D of the second expression is
(n-1)² alternative form(n-1)(n-1)[tex]3) \tt\frac{k}{ {h }^{2} - 5h + 6} \: , \frac{3}{h -3 } [/tex]
step-1
factor out h²-5h+6 to find L.C.D
rewrite -5h as -2h-3h: h²-2h-3h+6factor out h: h(h-2)-3h+6factor out -3: h(h-2)-3(h-2)group: (h-3)(h-2)therefore
the L.C.D of the third expression is
(h-3)(h-2)What is the surface area of the cylinder with height 8 ft and radius 5 ft? Round your answer to the nearest thousandth.
Can you answer this for me thank you
HELP ME QUICKLY AND PLS EXPLAIN HOW YOU GOT YOUR ANSWER! ILL EVEN GIVE BRAINLIEST<3
Laura wants to cut the board into equal pieces so that each piece is 5/8 foot long. How many pieces will she have? (The board is 12ft)
Answer:
Step-by-step explanation:
This is a straight forward division problem.
12/(5/8).
The rule for division of fractions is: invert the denominator and multiply.
For this problem: 12/(5/8) = 12 * 8/5 = 96/5.
Help
Don’t use for points and also be clear or I will take the points back
Answer:
x=47°
Step-by-step explanation:
..,........................
Answer:
I believe it is 47.
Step-by-step explanation: The reason why is because for a right angle it must be 90 degrees So, the way I solved this was getting 90-43 I got the 43 from BCD. then subtracted it and applied it to the other side, keep in mind I am only a freshman and it might be wrong super tiny chance but it might.